A lift has the capacity of 18 adults or 30 children. How many children can board the lift with 12 adults?

Correct Option: 10

The total capacity of the lift is equivalent to either 18 adults or 30 children. We can express the capacity relationship as: 18 adults = 30 children Dividing both sides by 18, we get: 1 adult = 30 / 18 = 5/3 children. The lift already has 12 adults on board. Since the maximum capacity is 18 adults, the remaining capacity in terms of adults is: 18 - 12 = 6 adults. Now, we can convert this remaining capacity of 6 adults into children: Remaining children capacity = 6 × (5/3) = 10 children. Thus, 10 children can board the lift with the 12 adults. This corresponds to option B. The other options are incorrect because they do not correctly scale the ratio between the capacity of adults and children.